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Finding the Fourth Proportional to 622.31, 934.09 and 297.95

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Solution

The fourth proportional to 622.31, 934.09 and 297.95 is: 447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.31 : 934.09 = 297.95 : x
  2. Step 2: Convert to fraction form
    622.31/934.09 = 297.95/x
  3. Step 3: Cross multiply
    622.31x = 934.09 × 297.95
  4. Step 4: Simplify right side
    622.31x = 278,306.70
  5. Step 5: Solve for x
    x = 278,306.70/622.31
  6. Step 6: Final answer
    x = 447.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.